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The volume V and depth x of water in a v...

The volume V and depth x of water in a vessel are connected by the relation `V=5x-x^2/6` and the volume of water is increasing at the rate of `5cm^3//sec` when x=2cm. The rate at which the depth of water is increasing , is

A

`(5)/(18)` cm/sec

B

`(1)/(4)` cm/sec

C

`(5)/(16)` cm/sec

D

None of these

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The correct Answer is:
D
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